Hair Loss and Thyroid Disease.. how do I stop it?

I am hyperthyroid and have graves disease. My TSH is now 3.4 (normal is 2 or bellow) and it was over 100 but my hair is still falling out and no one knows why. My doctors said it should've stopped falling out a while ago when my thyroid stabilized but it didn't and they have no answers to what I can do about it. I am still on thyroid medication ( tapazole) but only a small dose. I also still get rashes and pain in my scalp. Has anyone else had this problem or know how I can stop this? I'm only 20 and a girl and I'm going bald : ( I'm scared all my hair will fall out, i've lost so much already.